38540861689248 has 96 divisors (see below), whose sum is σ = 112750457238720. Its totient is φ = 12808141251840.

The previous prime is 38540861689237. The next prime is 38540861689259. The reversal of 38540861689248 is 84298616804583.

38540861689248 is a `hidden beast` number, since 3 + 85 + 408 + 6 + 16 + 8 + 92 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (38540861689237) and next prime (38540861689259).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67096915 + ... + 67668882.

It is an arithmetic number, because the mean of its divisors is an integer number (1174483929570).

Almost surely, 2^{38540861689248} is an apocalyptic number.

It is an amenable number.

38540861689248 is an abundant number, since it is smaller than the sum of its proper divisors (74209595549472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38540861689248 is a wasteful number, since it uses less digits than its factorization.

38540861689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134766147 (or 134766133 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 38540861689248 in words is "thirty-eight trillion, five hundred forty billion, eight hundred sixty-one million, six hundred eighty-nine thousand, two hundred forty-eight".